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arXiv · 1208.0585

Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

Denis Parganlija·Peter Kovacs·Gyorgy Wolf·Francesco Giacosa·Dirk H. Rischke
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Abstract

We study scalar, pseudoscalar, vector, and axial-vector mesons with non-strange and strange quantum numbers in the framework of a linear sigma model with global chiral $U(N_f)_L \times U(N_f)_R$ symmetry. We perform a global fit of meson masses, decay widths, as well as decay amplitudes. The quality of the fit is, for a hadronic model that does not consider isospin-breaking effects, surprisingly good. We also investigate the question whether the scalar $\bar{q}q$ states lie below or above 1 GeV and find the scalar states above 1 GeV to be preferred as $\bar{q}q$ states. Additionally, we also describe the axial-vector resonances as $\bar{q}q$ states.

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Denis Parganlija, Peter Kovacs, Gyorgy Wolf, Francesco Giacosa, Dirk H. Rischke. 2013-01-16. Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons. https://doi.org/10.1103/physrevd.87.014011

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